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Finding the Third Proportional to 53,019.56 and 114,164.44

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Solution

The third proportional to 53,019.56 and 114,164.44 is: 245,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,019.56 : 114,164.44 = 114,164.44 : x
  2. Step 2: Convert to fraction form
    53,019.56/114,164.44 = 114,164.44/x
  3. Step 3: Cross multiply
    53,019.56x = 114,164.44 × 114,164.44
  4. Step 4: Simplify right side
    53,019.56x = 13,033,518,789.69
  5. Step 5: Solve for x
    x = 13,033,518,789.69/53,019.56
  6. Step 6: Final answer
    x = 245,824.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.